Geodesic
A Varifolds Representation of the Relaxed Elastica Functional
Journal of convex analysis, Tome 14 (2007) no. 3, pp. 543-564.

Voir la notice de l'article provenant de la source Heldermann Verlag

We prove a new representation result for the L1-lower semicontinuous envelope of the elastica functional in terms of a minimum problem over a suitable class of varifolds. We also show a representation result in a suitable class of Sobolev-type submanifolds.
Mots-clés : Varifolds, representation result, L-1-lower semicontinuous envelope, elastica functional, minimum problem, Sobolev-type submanifolds 
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     author = {G. Bellettini and L. Mugnai},
     title = {A {Varifolds} {Representation} of the {Relaxed} {Elastica} {Functional}},
     journal = {Journal of convex analysis},
     pages = {543--564},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2007},
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G. Bellettini; L. Mugnai. A Varifolds Representation of the Relaxed Elastica Functional. Journal of convex analysis, Tome 14 (2007) no. 3, pp. 543-564. http://geodesic.mathdoc.fr/item/JCA_2007_14_3_JCA_2007_14_3_a4/